Finding the Fourth Proportional to 10,384.76, 15,584.16 and 3,816.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384.76 : 15,584.16 = 3,816.20 : x
2. Step 2: Convert to fraction form
   10,384.76/15,584.16 = 3,816.20/x
3. Step 3: Cross multiply
   10,384.76x = 15,584.16 × 3,816.20
4. Step 4: Simplify right side
   10,384.76x = 59,472,271.39
5. Step 5: Solve for x
   x = 59,472,271.39/10,384.76
6. Step 6: Final answer
   x = 5,726.88